{"product_id":"oscillations-and-resonances","title":"Oscillations and Resonances","description":"\u003cp\u003eThis two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. \u003c\/p\u003e \u003cp\u003eThis approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. \u003c\/p\u003e \u003cp\u003eThis first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. \u003c\/p\u003e \u003cul\u003e \u003cp\u003e\u003c\/p\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cstrong\u003eContents\u003c\/strong\u003e \u003c\/p\u003e\u003cul\u003e \u003cli\u003eAsymptotic expansions and series \u003c\/li\u003e \u003cli\u003eAsymptotic methods for solving nonlinear equations \u003c\/li\u003e \u003cli\u003eNonlinear oscillator in potential well \u003c\/li\u003e \u003cli\u003eAutoresonances in nonlinear systems \u003c\/li\u003e \u003cli\u003eAsymptotics for loss of stability \u003c\/li\u003e \u003cli\u003eSystems of coupled oscillators \u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003c\/p\u003e\u003cstrong\u003e\u003c\/strong\u003e","brand":"None","offers":[{"title":"Couverture rigide","offer_id":46592049709266,"sku":"9783110335545","price":266.99,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_991b77b5-d159-4663-b1a2-a1a7d2063845.jpg?v=1763635073","url":"https:\/\/www.indigo.ca\/fr\/products\/oscillations-and-resonances","provider":"Indigo","version":"1.0","type":"link"}